101673891 has 48 divisors (see below), whose sum is σ = 168805728. Its totient is φ = 58406400.

The previous prime is 101673881. The next prime is 101673899. The reversal of 101673891 is 198376101.

It is a de Polignac number, because none of the positive numbers 2^k-101673891 is a prime.

It is a super-2 number, since 2×101673891² = 20675160222159762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101673899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149845 + ... + 150521.

It is an arithmetic number, because the mean of its divisors is an integer number (3516786).

Almost surely, 2^101673891 is an apocalyptic number.

101673891 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101673891 is a deficient number, since it is larger than the sum of its proper divisors (67131837).

101673891 is a wasteful number, since it uses less digits than its factorization.

101673891 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 101673891 is about 10083.3472121117. The cubic root of 101673891 is about 466.7344038295.

The spelling of 101673891 in words is "one hundred one million, six hundred seventy-three thousand, eight hundred ninety-one".